To solve this equation, we can use the properties of exponents.

First, we can simplify the left side of the equation by adding the exponents when multiplying powers with the same base:

5^x × 5^(x+1) × 5^(x+2) = 5^(x + (x+1) + (x+2)) = 5^(3x + 3)

Now, let's simplify the right side of the equation:

5^25 ÷ 5^7 = 5^(25 - 7) = 5^18

So, the equation becomes:

5^(3x + 3) = 5^18

Since the bases are the same, we can equate the exponents:

3x + 3 = 18

Subtracting 3 from both sides:

3x = 15

Dividing both sides by 3:

x = 5

Therefore, the solution to the equation is x = 5.